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Finding the Fourth Proportional to 936.65, 1,403.22 and 783.56

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Solution

The fourth proportional to 936.65, 1,403.22 and 783.56 is: 1,173.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.65 : 1,403.22 = 783.56 : x
  2. Step 2: Convert to fraction form
    936.65/1,403.22 = 783.56/x
  3. Step 3: Cross multiply
    936.65x = 1,403.22 × 783.56
  4. Step 4: Simplify right side
    936.65x = 1,099,507.06
  5. Step 5: Solve for x
    x = 1,099,507.06/936.65
  6. Step 6: Final answer
    x = 1,173.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.